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Simplifying 5x + -3(2x + 4) = -1(3x + 2) + 2 Reorder the terms: 5x + -3(4 + 2x) = -1(3x + 2) + 2 5x + (4 * -3 + 2x * -3) = -1(3x + 2) + 2 5x + (-12 + -6x) = -1(3x + 2) + 2 Reorder the terms: -12 + 5x + -6x = -1(3x + 2) + 2 Combine like terms: 5x + -6x = -1x -12 + -1x = -1(3x + 2) + 2 Reorder the terms: -12 + -1x = -1(2 + 3x) + 2 -12 + -1x = (2 * -1 + 3x * -1) + 2 -12 + -1x = (-2 + -3x) + 2 Reorder the terms: -12 + -1x = -2 + 2 + -3x Combine like terms: -2 + 2 = 0 -12 + -1x = 0 + -3x -12 + -1x = -3x Solving -12 + -1x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + -1x + 3x = -3x + 3x Combine like terms: -1x + 3x = 2x -12 + 2x = -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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